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Simplifying 2x + 3(-1x + 3) = 6(2x + -28) + 12 Reorder the terms: 2x + 3(3 + -1x) = 6(2x + -28) + 12 2x + (3 * 3 + -1x * 3) = 6(2x + -28) + 12 2x + (9 + -3x) = 6(2x + -28) + 12 Reorder the terms: 9 + 2x + -3x = 6(2x + -28) + 12 Combine like terms: 2x + -3x = -1x 9 + -1x = 6(2x + -28) + 12 Reorder the terms: 9 + -1x = 6(-28 + 2x) + 12 9 + -1x = (-28 * 6 + 2x * 6) + 12 9 + -1x = (-168 + 12x) + 12 Reorder the terms: 9 + -1x = -168 + 12 + 12x Combine like terms: -168 + 12 = -156 9 + -1x = -156 + 12x Solving 9 + -1x = -156 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 9 + -1x + -12x = -156 + 12x + -12x Combine like terms: -1x + -12x = -13x 9 + -13x = -156 + 12x + -12x Combine like terms: 12x + -12x = 0 9 + -13x = -156 + 0 9 + -13x = -156 Add '-9' to each side of the equation. 9 + -9 + -13x = -156 + -9 Combine like terms: 9 + -9 = 0 0 + -13x = -156 + -9 -13x = -156 + -9 Combine like terms: -156 + -9 = -165 -13x = -165 Divide each side by '-13'. x = 12.69230769 Simplifying x = 12.69230769
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